App Logo

No.1 PSC Learning App

1M+ Downloads
Consider a long tube of 25 mm outside diameter (do) and of 20 mm inside diameter (di) twisted about its longitudinal axis with a torque T of 45 N-m. The polar moment of inertia of the hollow tube is-

A22641 mm⁴

B36980 mm⁴

C18933 mm⁴

D27271 mm⁴

Answer:

A. 22641 mm⁴

Read Explanation:

Given: D = 25 mm, d = 20 mm J=π(D4d4)32=π(254204)32=22641mm4J=\frac{\pi(D ^ 4 - d ^ 4)}{32}=\frac{\pi(25 ^ 4 - 20 ^ 4)}{32} = 22641mm ^ 4

Related Questions:

Torsion bars are in parallel

Consider the torsion equation given below.

TJ=τR=GθL\frac TJ=\frac{\tau}{R}=\frac{G\theta}{L}

What the term J/R represents in the above equation?

The twisting moment of a circular shaft increases when:

Consider the following relation for the torsional stiffness (Кт)

1.KT=TθK_T=\frac {T}{\theta}

2.KT=GJLK_T=\frac {GJ}{L}

3.KT=GθLK_T=\frac {G\theta}{L}

A solid circular shaft of 4 cm in diameter is subjected to a shear stress of 20 kN/cm, then the value of twisting moment (kN-cm) will be: